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Finding the Fourth Proportional to 315,025.80, 472,538.70 and 310,878.60

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Solution

The fourth proportional to 315,025.80, 472,538.70 and 310,878.60 is: 466,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,025.80 : 472,538.70 = 310,878.60 : x
  2. Step 2: Convert to fraction form
    315,025.80/472,538.70 = 310,878.60/x
  3. Step 3: Cross multiply
    315,025.80x = 472,538.70 × 310,878.60
  4. Step 4: Simplify right side
    315,025.80x = 146,902,169,501.82
  5. Step 5: Solve for x
    x = 146,902,169,501.82/315,025.80
  6. Step 6: Final answer
    x = 466,317.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.